Q11. The diagram shows a trapezium.
x-4
Diagram NOT
accurately drawn
2x
x + 5
All the measurements are in centimetres.
The area of the trapezium is 351 cm2.
(a) Show that 2x2 + x - 351 = 0

Step-by-step explanation:

The area of a trapezium is given as;

Area = (a + b)h

where: a is the length of the upper side, b is the length of its base and h is its height.

This implies that; a = x - 4, b = x + 5, h = 2x and area = 351

Thus,

351 =  ((x - 4) + (x + 50)) 2x

      = (x - 4 + x + 5) x

531 = (2x + 1) x

      = 2 + x

So that;

2 + x - 531 = 0

This gives a quadratic equation.

option a.

step-by-step explanation:

if you look closely at the graph, we can notice that the function is not defined at two different points.

if you look at functions b and c, you will notice that both functions are not defined at just one point. the function b is not defined at x= -5/2 and function c is not defined at x=-5. both options are discarded, given that our function should not be defined at two fiferent points.

now, if you look closely at the graph you will notice that the function sketched is not defined at x=5 and x=-2.